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ON PAIRED prioritizationS OF CRITERIA IN THE PERSPECTIVE OF DIAGRAPHS

Journal of Systems Science and Systems Engineering 2015年第4期24卷 466-485页

作者： Wenning Hao Xiaohan Yu Zeshui Xu Xiuli Qi College of Command Information Systems PLA University of Science and Technology College of Sciences PLA University of Science and Technology

It is not usually independent among criteria in multi-criteria decision making(MCDM),and various dependences of criteria greatly influence the results of decision *** an exact decision is desired,we must make clear the role of the dependences of ***,a new kind of dependences of criteria proposed recently,imply that the importance weights of criteria with lower priority for an alternative rely on whether the alternative satisfies the decision maker under criteria with higher *** has been validated that there exist lots of relevant applications in our daily ***,most existing literatures focus on how to deal with the problems of MCDM with ordered prioritizations among criteria(a special form of prioritizations).The characteristics of prioritizations are not dug *** paper constructs a new form of prioritizations,called paired prioritizations,so as to reduce or even avoid imperfect rationality of decision makers hidden in the ordered *** first represent binary paired prioritizations as a digraph,based on which we discover two kinds of imperfect rationality(inconsistency and incompleteness) produced in the period that the decision maker supplies the binary paired *** the given paired prioritizations are consistent and complete,we develop an approach to transform the paired prioritizations to ordered *** latter can be used to handle prioritized MCDM ***,uncertainty,another kind of imperfect rationality,is considered when the decision maker provides the fuzzy paired prioritizations based on a set of linguistic *** construct a fuzzy digraph whose fuzzy relations are just the fuzzy paired *** ordered prioritizations can then be derived with the aid of the fuzzy *** use cases are taken to show the process of transformations from binary/fuzzy paired prioritizations to ordered prioritizations.

关键词： Paired prioritization ordered prioritization criteria digraph fuzzy digraph

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